Base | Representation |
---|---|
bin | 1001101001100101010101… |
… | …01100011100111111111000 |
3 | 2210010121112102212202222220 |
4 | 10310302222230130333320 |
5 | 10240132031032101242 |
6 | 113044200123444040 |
7 | 4320044302555113 |
oct | 464625254347770 |
9 | 83117472782886 |
10 | 21220002222072 |
11 | 6841397060675 |
12 | 24686b3986620 |
13 | bac0648738b4 |
14 | 5350a708957a |
15 | 26beaaacabec |
hex | 134caab1cff8 |
21220002222072 has 128 divisors (see below), whose sum is σ = 57146052096000. Its totient is φ = 6547107409920.
The previous prime is 21220002222071. The next prime is 21220002222119. The reversal of 21220002222072 is 27022220002212.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21220002222071) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333463954 + ... + 333527582.
It is an arithmetic number, because the mean of its divisors is an integer number (446453532000).
Almost surely, 221220002222072 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21220002222072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28573026048000).
21220002222072 is an abundant number, since it is smaller than the sum of its proper divisors (35926049873928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21220002222072 is a wasteful number, since it uses less digits than its factorization.
21220002222072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83181 (or 83177 counting only the distinct ones).
The product of its (nonzero) digits is 1792, while the sum is 24.
Adding to 21220002222072 its reverse (27022220002212), we get a palindrome (48242222224284).
The spelling of 21220002222072 in words is "twenty-one trillion, two hundred twenty billion, two million, two hundred twenty-two thousand, seventy-two".
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